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ERIC Number: EJ1118850
Record Type: Journal
Publication Date: 2016
Pages: 18
Abstractor: As Provided
ISSN: ISSN-0020-739X
The Standard Proof, the Elegant Proof, and the Proof without Words of Tasks in Geometry, and Their Dynamic Investigation
Sigler, Avi; Segal, Ruti; Stupel, Moshe
International Journal of Mathematical Education in Science and Technology, v47 n8 p1226-1243 2016
Solution of problems in mathematics, and in particular in the field of Euclidean geometry is in many senses a form of artisanship that can be developed so that in certain cases brief and unexpected solutions may be obtained, which would bring out aesthetically pleasing mathematical traits. We present four geometric tasks for which different proofs are given under the headings: standard proof, elegant proof, and the proof without words. The solutions were obtained through a combination of mathematical tools and by dynamic investigation of the geometrical properties.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A